We look at the division of 109564 by 41 
We want to figure out the number of times 109564 can be divided by 41.

On to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 41

Going ahead to step 2:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 41

Let's proceed to step 3:
When dividing 109 by 41, we get 2 with a remainder of 27.
The next digit of our result is 2. 
Result so far: 2.0
If we take 82 away from 109, we end up with 27.
Bring next digit (5) of the dividend behind the 27 and repeat the process: 275 / 41

Advancing to step 4:
If we divide 275 by 41, we get 6 and a remainder of 29.
The next digit of our result is 6. 
Result so far: 26.0
The remainder is 29 after subtracting 246 from 275.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 41

Moving on to step 5:
296 divided by 41 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 267.0
If we subtract 287 from 296, we get 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 41

Let's proceed to step 6:
When dividing 94 by 41, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 2672.0
Subtracting 82 from 94 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 2672.2
Subtracting 82 from 120 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
41 can be fit into 380 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 2672.29
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
41 can be fit into 110 2 times, resulting in a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 2672.292
Deduct 82 from 110 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
41 goes into 280 6 times with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 2672.2926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
When dividing 340 by 41, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 2672.29268
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 2672.292682
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 13:
41 can be fit into 380 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 2672.2926829
The remainder is 11 after subtracting 369 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
The number 41 fits into 110 2 times, leaving a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 2672.29268292
Subtracting 82 from 110 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 2672.29268292 with a remaining 2.8e-08.